An airplane propeller is rotating at 2000 rpm

Answered question

2022-04-20

An airplane propeller is rotating at 2000 rpm (rev/min). (a) Compute the propeller’s
angular velocity in rad/s (b) How many seconds does it take for the propeller to turn
through 400?

Answer & Explanation

user_27qwe

user_27qwe

Skilled2022-05-13Added 375 answers

Given:

Airplane propeller rotating at 2000rpm

And angle θ=40.0°

 

a) We know that,

1rpm=2πrad60s

 

So, for angular velocity,

ω=2000×2πrad60s

ω=209.44rads

ω209rads

 

 

b) Change 40.0° to radians

 

θrad=40.0×2πrad360

θrad=0.698rad

 

Use the equation for the angular velocity:

ω=θradt

Solve for t,

t=θradω

 

Now, substitute the value,

t=0.698rad209rad/s

t=3.33×10-3s

t=0.00333s

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